Introduction to Java Programming and Data Structures, Comprehensive Version, Student Value Edition (11th Edition)
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Chapter 23, Problem 23.8PE
Program Plan Intro

Generic insertion sort

Program Plan:

  • Import the required packages.
  • Create a class “Sorting”:
  • Define the method insertion sort with the interface.
    • Define the main method
      • Initialize the list that needs to be checked.
      • Call the method “insertionSort()”.
      • Display the list present in the sorted order.
  • Define the method “insertionSort()”
    • Loop that iterates for the length of the list.
    • Assign and initialize the required variables.
    • Loop that iterates to all the elements present in the list to compare the elements present in them.
    • Assign the value at required positions.

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[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ƒ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.
Question 1 Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule. Question 2 Construct a frequency polygon density estimate for the sample in Question 1, using bin width determined by Sturges’ Rule.
Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule.
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